A Course of Mathematics ...: Designed for the Use of the Officers and Cadets of the Royal Military College, Volumen1C. Glendinning, 1807 |
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Página 183
... joining any two opposite N angles of a quadrilateral is called a diagonal , as NO . 29. The side PQ upon which any paral- lelogram PQRS , or triangle PSQ , is suppo- sed to stand , is called the base ; and the perpendicular ST , falling ...
... joining any two opposite N angles of a quadrilateral is called a diagonal , as NO . 29. The side PQ upon which any paral- lelogram PQRS , or triangle PSQ , is suppo- sed to stand , is called the base ; and the perpendicular ST , falling ...
Página 192
... any part of the circumference . 53 . The chord or subtense of an arc AGB , or ARB , is a right line AB joining the extremi- ties of that arc . G A B R 51. A segment is any part of a circle bounded 192 GEOMETRY . Of the Circle Of the Circle.
... any part of the circumference . 53 . The chord or subtense of an arc AGB , or ARB , is a right line AB joining the extremi- ties of that arc . G A B R 51. A segment is any part of a circle bounded 192 GEOMETRY . Of the Circle Of the Circle.
Página 196
... join CP . Then CNP is a right angle ( 65 ) ; and the angles RPC , SPC are also both right angles ( 67 , corol . 1 ) . Now in the right angled triangle CNP , the sum of the two acute angles NCP , CPN , is equal to a right angle . corol ...
... join CP . Then CNP is a right angle ( 65 ) ; and the angles RPC , SPC are also both right angles ( 67 , corol . 1 ) . Now in the right angled triangle CNP , the sum of the two acute angles NCP , CPN , is equal to a right angle . corol ...
Página 199
... two right angles ; therefore by equal subtraction , the angle OAR is equal to the angle GPR . R 76. In a circle , two parallel chords AB , CD intercept equal arcs AC , BD , Join AD . Then because AB is parallel to CD THEOREMS . 100.
... two right angles ; therefore by equal subtraction , the angle OAR is equal to the angle GPR . R 76. In a circle , two parallel chords AB , CD intercept equal arcs AC , BD , Join AD . Then because AB is parallel to CD THEOREMS . 100.
Página 200
... Join AD . Then because AB is parallel to CD , the alternate angles BAD , CDA , are equal to each other ( 40 ) ; and therefore the arc BD is equal to the arc AC ( 70. corol . ) . 3 C D 77. The angle formed by two chords AB , CD ...
... Join AD . Then because AB is parallel to CD , the alternate angles BAD , CDA , are equal to each other ( 40 ) ; and therefore the arc BD is equal to the arc AC ( 70. corol . ) . 3 C D 77. The angle formed by two chords AB , CD ...
Términos y frases comunes
angle ACB arith arithmetical arithmetical mean base battalions bisect breadth centre chord ciphers circle circumference consequently corol cosine cube root cubic decimal defilé diameter diff difference distance ditch divided dividend division divisor example farthings feet figure frustum give given line half the arc half the perimeter height Hence horizontal improper fraction inches integer intersection isosceles least common multiple length logarithm mean proportional measure miles mixt number multiplied nearly number of terms opposite angles paces parallel parallelogram perpendicular plane polygon prism pyramid quadrilateral quotient radius ratio rectangle Reduce remainder rhombus right angles right line right-angled triangle scale of equal segment shillings sides similar sine square root subtracted Suppose tangent Theodolite toises VULGAR FRACTIONS whole number yards
Pasajes populares
Página 100 - Multiply the whole augmented divisor by this last quotient figure, and subtract the product from the said dividend, bringing down to the next period of the given number, for a new dividend. Repeat the same process over again — viz. find another new divisor, by doubling all the figures now...
Página 95 - If the errors are unlike, divide the sum of the products by the sum of the errors, and the quotient will be the answer.
Página 220 - A solid angle is that which is made by the meeting of more than two plane angles, which are not in the same plane, in one point. X. ' The tenth definition is omitted for reasons given in the notes.
Página 180 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Página 114 - When any number of quantities are proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Página 189 - A sector, is any part of a circle bounded by an arc, and two radii, drawn to its extremities. A quadrant, or quarter of a circle, is a sector having a quarter part of the circumference for its arc, and the two radii perpendicular to each other.
Página 334 - To find the area of a triangle. RULE.* Multiply the base by the perpendicular height, and half the product will be the area.
Página 165 - To Divide One Number by Another, Subtract the logarithm of the divisor from the logarithm of the dividend, and obtain the antilogarithm of the difference.
Página 211 - If there be any number of proportionals, as one antecedent is to its consequent, so is the sum of all the antecedents to the sum of all the consequents.
Página 207 - Similar rectilineal figures are those which have their several angles equal, each to each, and the sides about the equal angles proportionals. II. " Reciprocal figures, viz. triangles and parallelograms, " are such as have their sides about two of their " angles proportionals in such a manner, that a side